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rezolvați ecuația in R: 1) 3-6x = 2-4x 2) 2x + (3 - 6x) = -17 3) 2(x+1) = 3(x-1) 4) 1/5(2x-1)=4 5) 2/3(4x-1/3)=1/9 6) 2(x+1) = 4-(1-2x)

Răspuns :

Salut!

1) 3-6x=2-4x

3-2= -4x+6x

1=2x

x=1\2

2) 2x+(3-6x)= -17

2x+3-6x= -17

-4x= -17-3

-4x= -20 [tex]|:(-4)[/tex]

x=5

3) 2(x+1)=3(x-1)

2x+2=3x-3

2x-3x= -3-2

-x= -5 [tex]|:(-1)[/tex]

x=5

4)

[tex]\frac{1}{5} (2x-1)=4\\\\\frac{2x}{5}-\frac{1}{5} =4\\\\\frac{2x}{5} -\frac{1}{5}=\frac{20}{5} |*5\\\\2x-1=20\\\\2x=20+1\\\\ 2x=21\\\\x=\frac{21}{2}[/tex]

5)

[tex]\frac{2}{3}(4x- \frac{1}{3} )=\frac{1}{9} \\\\\frac{8x}{3} -\frac{2}{9} =\frac{1}{9} \\\\\frac{8x}{3} =\frac{1}{9}+\frac{2}{9} \\\\\frac{8x}{3} =\frac{3}{9}\\\\72x=9\\\\x=\frac{9}{72} \\\\x=\frac{1}{8}[/tex]

6) 2(x+1)=4-(1-2x)

2x+2=4-1+2x

2x+2=3+2x

2x-2x=3-2

0=1.........

Succes!